0.624 * [progress]: [Phase 1 of 3] Setting up. 0.004 * * * [progress]: [1/2] Preparing points 0.189 * * * [progress]: [2/2] Setting up program. 0.196 * [progress]: [Phase 2 of 3] Improving. 0.200 * [simplify]: Simplifying: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.202 * * [simplify]: Extracting # 0 : cost 0 0.202 * * [simplify]: Extracting # 1 : cost 0 0.202 * * [simplify]: Extracting # 2 : cost 0 0.202 * * [simplify]: Extracting # 3 : cost 0 0.203 * * [simplify]: Extracting # 4 : cost 0 0.203 * * [simplify]: Extracting # 5 : cost 0 0.203 * * [simplify]: Extracting # 6 : cost 0 0.203 * * [simplify]: Extracting # 7 : cost 0 0.203 * * [simplify]: iteration 0 : 9 enodes (cost 11 ) 0.211 * * [simplify]: Extracting # 0 : cost 0 0.211 * * [simplify]: Extracting # 1 : cost 0 0.211 * * [simplify]: Extracting # 2 : cost 0 0.211 * * [simplify]: iteration 1 : 16 enodes (cost 11 ) 0.217 * * [simplify]: Extracting # 0 : cost 0 0.217 * * [simplify]: Extracting # 1 : cost 0 0.217 * * [simplify]: Extracting # 2 : cost 0 0.217 * * [simplify]: iteration 2 : 19 enodes (cost 11 ) 0.224 * * [simplify]: Extracting # 0 : cost 0 0.224 * * [simplify]: iteration 3 : 21 enodes (cost 11 ) 0.232 * * [simplify]: Extracting # 0 : cost 0 0.232 * * [simplify]: iteration done: 21 enodes (cost 11 ) 0.232 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.275 * * [progress]: iteration 1 / 4 0.275 * * * [progress]: picking best candidate 0.277 * * * * [pick]: Picked # 0.277 * * * [progress]: localizing error 0.290 * * * [progress]: generating rewritten candidates 0.290 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.313 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1) 0.341 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.352 * * * [progress]: generating series expansions 0.364 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.374 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 x) (+ 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 0.374 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.375 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.375 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.375 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [backup-simplify]: Simplify 1.0 into 1.0 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [backup-simplify]: Simplify 1.0 into 1.0 0.378 * [backup-simplify]: Simplify (- 0) into 0 0.378 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.379 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.380 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.382 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.383 * [backup-simplify]: Simplify (- 1) into -1 0.383 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.384 * [backup-simplify]: Simplify (+ 1 0) into 1 0.387 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.389 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 0.389 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.389 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.389 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [backup-simplify]: Simplify 1.0 into 1.0 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.390 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [backup-simplify]: Simplify 1.0 into 1.0 0.390 * [backup-simplify]: Simplify (- 0) into 0 0.391 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.391 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.391 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.392 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.392 * [backup-simplify]: Simplify (- 1) into -1 0.393 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.393 * [backup-simplify]: Simplify (+ 1 0) into 1 0.396 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.399 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 0.400 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.401 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 0.402 * [backup-simplify]: Simplify (- 0) into 0 0.402 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.415 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 0.422 * [backup-simplify]: Simplify (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 0.432 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) (pow x 2)) (+ (* (/ -1.0 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) 0.432 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 0.432 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.432 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.432 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.432 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.432 * [taylor]: Taking taylor expansion of 1.0 in x 0.433 * [backup-simplify]: Simplify 1.0 into 1.0 0.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.434 * [backup-simplify]: Simplify 1.0 into 1.0 0.434 * [backup-simplify]: Simplify (- 1) into -1 0.435 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.436 * [backup-simplify]: Simplify (+ 1 0) into 1 0.436 * [backup-simplify]: Simplify (/ -1 1) into -1 0.436 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (- 0) into 0 0.438 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.442 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.443 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 0.444 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.444 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.444 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [backup-simplify]: Simplify 1.0 into 1.0 0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [backup-simplify]: Simplify 1.0 into 1.0 0.445 * [backup-simplify]: Simplify (- 1) into -1 0.445 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.446 * [backup-simplify]: Simplify (+ 1 0) into 1 0.446 * [backup-simplify]: Simplify (/ -1 1) into -1 0.447 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- 0) into 0 0.448 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.452 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.454 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 0.454 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.456 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (- 0) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.507 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.518 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.532 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 0.532 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 0.532 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.532 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.532 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.532 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (/ 1 1) into 1 0.533 * [taylor]: Taking taylor expansion of 1.0 in x 0.533 * [backup-simplify]: Simplify 1.0 into 1.0 0.533 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.533 * [taylor]: Taking taylor expansion of 1.0 in x 0.533 * [backup-simplify]: Simplify 1.0 into 1.0 0.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (/ 1 1) into 1 0.534 * [backup-simplify]: Simplify (+ 1 0) into 1 0.535 * [backup-simplify]: Simplify (- 1) into -1 0.535 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.536 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.536 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (- 0) into 0 0.539 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.542 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.544 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 0.545 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.545 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.545 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.545 * [backup-simplify]: Simplify (/ 1 1) into 1 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [backup-simplify]: Simplify 1.0 into 1.0 0.545 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [backup-simplify]: Simplify 1.0 into 1.0 0.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (/ 1 1) into 1 0.546 * [backup-simplify]: Simplify (+ 1 0) into 1 0.547 * [backup-simplify]: Simplify (- 1) into -1 0.547 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.548 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.548 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (- 0) into 0 0.551 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.554 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.590 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 0.591 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.593 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 0.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (- 0) into 0 0.610 * [backup-simplify]: Simplify (+ 0 0) into 0 0.618 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.625 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.671 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.689 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 0.690 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1) 0.690 * [backup-simplify]: Simplify (/ (- 1.0 x) (+ 1.0 x)) into (/ (- 1.0 x) (+ x 1.0)) 0.690 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.690 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.690 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.690 * [taylor]: Taking taylor expansion of 1.0 in x 0.690 * [backup-simplify]: Simplify 1.0 into 1.0 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [taylor]: Taking taylor expansion of 1.0 in x 0.690 * [backup-simplify]: Simplify 1.0 into 1.0 0.691 * [backup-simplify]: Simplify (- 0) into 0 0.693 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.694 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.695 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.695 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.695 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.695 * [backup-simplify]: Simplify 1.0 into 1.0 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify 1 into 1 0.695 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify 1 into 1 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.695 * [backup-simplify]: Simplify 1.0 into 1.0 0.695 * [backup-simplify]: Simplify (- 0) into 0 0.696 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.696 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.697 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.697 * [backup-simplify]: Simplify 1.0 into 1.0 0.697 * [backup-simplify]: Simplify (- 1) into -1 0.698 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.698 * [backup-simplify]: Simplify (+ 1 0) into 1 0.701 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.701 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.702 * [backup-simplify]: Simplify (- 0) into 0 0.702 * [backup-simplify]: Simplify (+ 0 0) into 0 0.703 * [backup-simplify]: Simplify (+ 0 0) into 0 0.707 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.707 * [backup-simplify]: Simplify 2.0 into 2.0 0.708 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* (- 2.0) x) 1.0)) into (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) 0.708 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 0.708 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.708 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.708 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.708 * [taylor]: Taking taylor expansion of 1.0 in x 0.708 * [backup-simplify]: Simplify 1.0 into 1.0 0.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (/ 1 1) into 1 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (/ 1 1) into 1 0.709 * [taylor]: Taking taylor expansion of 1.0 in x 0.709 * [backup-simplify]: Simplify 1.0 into 1.0 0.710 * [backup-simplify]: Simplify (- 1) into -1 0.710 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.711 * [backup-simplify]: Simplify (+ 1 0) into 1 0.711 * [backup-simplify]: Simplify (/ -1 1) into -1 0.711 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.711 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.711 * [taylor]: Taking taylor expansion of 1.0 in x 0.711 * [backup-simplify]: Simplify 1.0 into 1.0 0.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (/ 1 1) into 1 0.712 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (/ 1 1) into 1 0.712 * [taylor]: Taking taylor expansion of 1.0 in x 0.712 * [backup-simplify]: Simplify 1.0 into 1.0 0.713 * [backup-simplify]: Simplify (- 1) into -1 0.713 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.713 * [backup-simplify]: Simplify (+ 1 0) into 1 0.715 * [backup-simplify]: Simplify (/ -1 1) into -1 0.715 * [backup-simplify]: Simplify -1 into -1 0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (- 0) into 0 0.719 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.720 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.724 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.724 * [backup-simplify]: Simplify 2.0 into 2.0 0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.725 * [backup-simplify]: Simplify (- 0) into 0 0.726 * [backup-simplify]: Simplify (+ 0 0) into 0 0.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (+ 0 0) into 0 0.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.765 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.766 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* 2.0 (/ 1 x)) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 0.766 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 0.766 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.766 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 1 into 1 0.767 * [backup-simplify]: Simplify (/ 1 1) into 1 0.767 * [taylor]: Taking taylor expansion of 1.0 in x 0.767 * [backup-simplify]: Simplify 1.0 into 1.0 0.767 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.767 * [taylor]: Taking taylor expansion of 1.0 in x 0.767 * [backup-simplify]: Simplify 1.0 into 1.0 0.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 1 into 1 0.768 * [backup-simplify]: Simplify (/ 1 1) into 1 0.768 * [backup-simplify]: Simplify (+ 1 0) into 1 0.768 * [backup-simplify]: Simplify (- 1) into -1 0.769 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.769 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.769 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.769 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify (/ 1 1) into 1 0.770 * [taylor]: Taking taylor expansion of 1.0 in x 0.770 * [backup-simplify]: Simplify 1.0 into 1.0 0.770 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.770 * [taylor]: Taking taylor expansion of 1.0 in x 0.770 * [backup-simplify]: Simplify 1.0 into 1.0 0.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify (/ 1 1) into 1 0.771 * [backup-simplify]: Simplify (+ 1 0) into 1 0.771 * [backup-simplify]: Simplify (- 1) into -1 0.772 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.772 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.772 * [backup-simplify]: Simplify -1 into -1 0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (- 0) into 0 0.775 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.778 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.778 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (- 0) into 0 0.781 * [backup-simplify]: Simplify (+ 0 0) into 0 0.786 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.787 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.788 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* (- 2.0) (/ 1 (- x))) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 0.788 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.788 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.788 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.788 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.791 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.791 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.791 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.792 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.793 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.793 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.793 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.793 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 0.793 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.793 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 0.794 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.795 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.795 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.795 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.796 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.796 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.797 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.797 * [backup-simplify]: Simplify (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1.0) (- 1.0 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.798 * * * [progress]: simplifying candidates 0.803 * [simplify]: Simplifying: (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.808 * * [simplify]: Extracting # 0 : cost 0 0.808 * * [simplify]: Extracting # 1 : cost 0 0.808 * * [simplify]: Extracting # 2 : cost 0 0.809 * * [simplify]: Extracting # 3 : cost 0 0.809 * * [simplify]: Extracting # 4 : cost 0 0.810 * * [simplify]: Extracting # 5 : cost 0 0.810 * * [simplify]: Extracting # 6 : cost 0 0.811 * * [simplify]: Extracting # 7 : cost 0 0.811 * * [simplify]: Extracting # 8 : cost 0 0.812 * * [simplify]: Extracting # 9 : cost 0 0.845 * * [simplify]: iteration 0 : 173 enodes (cost 1505 ) 0.984 * * [simplify]: Extracting # 0 : cost 0 0.985 * * [simplify]: Extracting # 1 : cost 0 0.986 * * [simplify]: Extracting # 2 : cost 0 0.987 * * [simplify]: Extracting # 3 : cost 0 0.988 * * [simplify]: Extracting # 4 : cost 0 0.989 * * [simplify]: iteration 1 : 372 enodes (cost 1422 ) 1.166 * * [simplify]: Extracting # 0 : cost 0 1.167 * * [simplify]: Extracting # 1 : cost 0 1.169 * * [simplify]: Extracting # 2 : cost 0 1.170 * * [simplify]: Extracting # 3 : cost 0 1.171 * * [simplify]: Extracting # 4 : cost 0 1.172 * * [simplify]: iteration 2 : 914 enodes (cost 1333 ) 1.683 * * [simplify]: Extracting # 0 : cost 0 1.688 * * [simplify]: Extracting # 1 : cost 0 1.693 * * [simplify]: Extracting # 2 : cost 0 1.698 * * [simplify]: Extracting # 3 : cost 0 1.703 * * [simplify]: Extracting # 4 : cost 0 1.705 * * [simplify]: iteration 3 : 2329 enodes (cost 1320 ) 2.828 * * [simplify]: Extracting # 0 : cost 0 2.836 * * [simplify]: Extracting # 1 : cost 0 2.848 * * [simplify]: Extracting # 2 : cost 0 2.859 * * [simplify]: Extracting # 3 : cost 0 2.871 * * [simplify]: Extracting # 4 : cost 0 2.883 * * [simplify]: iteration done: 5001 enodes (cost 1300 ) 2.885 * [simplify]: Simplified to: (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3) (fabs (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (fabs (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (fma 1.0 1.0 (* x (- x 1.0)))) (sqrt (/ 1 (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ x 1.0))) (log (/ (- 1.0 x) (+ x 1.0))) (exp (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- x 1.0) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (- 1.0 x) (- 1.0 x) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ 1 (+ 1.0 x)) (* (+ x 1.0) (fma 1.0 1.0 (* x (+ 1.0 x)))) (* (+ x 1.0) (+ x 1.0)) (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (fma (/ x (sqrt 1.0)) (- 1.0) (fma (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0)) (sqrt 1.0))) (- (+ (/ 1.0 (* x (sqrt -1))) (sqrt -1)) (* (/ 1 (* (pow x 2) (sqrt -1))) (+ (/ 0.5 -1) 1.0))) (- (+ (/ 1.0 (* x (sqrt -1))) (sqrt -1)) (* (/ 1 (* (pow x 2) (sqrt -1))) (+ (/ 0.5 -1) 1.0))) (fma x (- (* 2.0 x) 2.0) 1.0) (fma (/ 1 x) (- 2.0 (/ 2.0 x)) -1) (fma (/ 1 x) (- 2.0 (/ 2.0 x)) -1) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 2.886 * * * [progress]: adding candidates to table 3.256 * * [progress]: iteration 2 / 4 3.256 * * * [progress]: picking best candidate 3.258 * * * * [pick]: Picked # 3.258 * * * [progress]: localizing error 3.274 * * * [progress]: generating rewritten candidates 3.274 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 3.299 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 3.345 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.346 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.355 * * * [progress]: generating series expansions 3.355 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 3.355 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 x) (+ 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 3.356 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 3.356 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 3.356 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 3.356 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.356 * [taylor]: Taking taylor expansion of 1.0 in x 3.356 * [backup-simplify]: Simplify 1.0 into 1.0 3.356 * [taylor]: Taking taylor expansion of x in x 3.356 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.356 * [taylor]: Taking taylor expansion of x in x 3.356 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [taylor]: Taking taylor expansion of 1.0 in x 3.356 * [backup-simplify]: Simplify 1.0 into 1.0 3.357 * [backup-simplify]: Simplify (- 0) into 0 3.357 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.357 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.358 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 3.358 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.359 * [backup-simplify]: Simplify (- 1) into -1 3.359 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.360 * [backup-simplify]: Simplify (+ 1 0) into 1 3.363 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 3.365 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 3.365 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 3.365 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 3.365 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.365 * [taylor]: Taking taylor expansion of 1.0 in x 3.365 * [backup-simplify]: Simplify 1.0 into 1.0 3.365 * [taylor]: Taking taylor expansion of x in x 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 1 into 1 3.365 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.365 * [taylor]: Taking taylor expansion of x in x 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 1 into 1 3.365 * [taylor]: Taking taylor expansion of 1.0 in x 3.365 * [backup-simplify]: Simplify 1.0 into 1.0 3.366 * [backup-simplify]: Simplify (- 0) into 0 3.366 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.367 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.367 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 3.367 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.368 * [backup-simplify]: Simplify (- 1) into -1 3.368 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.369 * [backup-simplify]: Simplify (+ 1 0) into 1 3.371 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 3.373 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 3.374 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.375 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 3.375 * [backup-simplify]: Simplify (- 0) into 0 3.376 * [backup-simplify]: Simplify (+ 0 0) into 0 3.376 * [backup-simplify]: Simplify (+ 0 0) into 0 3.380 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 3.383 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 3.387 * [backup-simplify]: Simplify (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 3.392 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) (pow x 2)) (+ (* (/ -1.0 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) 3.392 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 3.392 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 3.392 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 3.392 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 3.392 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.392 * [taylor]: Taking taylor expansion of 1.0 in x 3.392 * [backup-simplify]: Simplify 1.0 into 1.0 3.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.392 * [taylor]: Taking taylor expansion of x in x 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify 1 into 1 3.393 * [backup-simplify]: Simplify (/ 1 1) into 1 3.393 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.393 * [taylor]: Taking taylor expansion of x in x 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify 1 into 1 3.393 * [backup-simplify]: Simplify (/ 1 1) into 1 3.393 * [taylor]: Taking taylor expansion of 1.0 in x 3.393 * [backup-simplify]: Simplify 1.0 into 1.0 3.393 * [backup-simplify]: Simplify (- 1) into -1 3.393 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.394 * [backup-simplify]: Simplify (+ 1 0) into 1 3.394 * [backup-simplify]: Simplify (/ -1 1) into -1 3.394 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.395 * [backup-simplify]: Simplify (- 0) into 0 3.395 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.396 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.398 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 3.399 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 3.399 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 3.399 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 3.399 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.399 * [taylor]: Taking taylor expansion of 1.0 in x 3.399 * [backup-simplify]: Simplify 1.0 into 1.0 3.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.399 * [taylor]: Taking taylor expansion of x in x 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify 1 into 1 3.399 * [backup-simplify]: Simplify (/ 1 1) into 1 3.399 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.399 * [taylor]: Taking taylor expansion of x in x 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify 1 into 1 3.399 * [backup-simplify]: Simplify (/ 1 1) into 1 3.399 * [taylor]: Taking taylor expansion of 1.0 in x 3.399 * [backup-simplify]: Simplify 1.0 into 1.0 3.400 * [backup-simplify]: Simplify (- 1) into -1 3.400 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.400 * [backup-simplify]: Simplify (+ 1 0) into 1 3.400 * [backup-simplify]: Simplify (/ -1 1) into -1 3.401 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.402 * [backup-simplify]: Simplify (- 0) into 0 3.402 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.403 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.404 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 3.405 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 3.406 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.406 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 3.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.410 * [backup-simplify]: Simplify (- 0) into 0 3.411 * [backup-simplify]: Simplify (+ 0 0) into 0 3.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.411 * [backup-simplify]: Simplify (+ 0 0) into 0 3.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 3.417 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 3.422 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 3.427 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 3.427 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 3.427 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 3.427 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 3.427 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 3.427 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.427 * [taylor]: Taking taylor expansion of x in x 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [backup-simplify]: Simplify (/ 1 1) into 1 3.427 * [taylor]: Taking taylor expansion of 1.0 in x 3.427 * [backup-simplify]: Simplify 1.0 into 1.0 3.428 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.428 * [taylor]: Taking taylor expansion of 1.0 in x 3.428 * [backup-simplify]: Simplify 1.0 into 1.0 3.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.428 * [taylor]: Taking taylor expansion of x in x 3.428 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify 1 into 1 3.428 * [backup-simplify]: Simplify (/ 1 1) into 1 3.428 * [backup-simplify]: Simplify (+ 1 0) into 1 3.428 * [backup-simplify]: Simplify (- 1) into -1 3.429 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.429 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.429 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.430 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.430 * [backup-simplify]: Simplify (- 0) into 0 3.431 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.432 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 3.433 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 3.434 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 3.434 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 3.434 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.434 * [taylor]: Taking taylor expansion of x in x 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 1 into 1 3.434 * [backup-simplify]: Simplify (/ 1 1) into 1 3.434 * [taylor]: Taking taylor expansion of 1.0 in x 3.434 * [backup-simplify]: Simplify 1.0 into 1.0 3.434 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.434 * [taylor]: Taking taylor expansion of 1.0 in x 3.434 * [backup-simplify]: Simplify 1.0 into 1.0 3.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.434 * [taylor]: Taking taylor expansion of x in x 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 1 into 1 3.434 * [backup-simplify]: Simplify (/ 1 1) into 1 3.435 * [backup-simplify]: Simplify (+ 1 0) into 1 3.435 * [backup-simplify]: Simplify (- 1) into -1 3.435 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.435 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.436 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.436 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.437 * [backup-simplify]: Simplify (- 0) into 0 3.437 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.439 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 3.441 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 3.441 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.442 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 3.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.444 * [backup-simplify]: Simplify (+ 0 0) into 0 3.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.445 * [backup-simplify]: Simplify (- 0) into 0 3.446 * [backup-simplify]: Simplify (+ 0 0) into 0 3.450 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 3.456 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 3.464 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 3.473 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 3.473 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 3.473 * [backup-simplify]: Simplify (/ (- 1.0 x) (+ 1.0 x)) into (/ (- 1.0 x) (+ x 1.0)) 3.473 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 3.473 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 3.474 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.474 * [taylor]: Taking taylor expansion of 1.0 in x 3.474 * [backup-simplify]: Simplify 1.0 into 1.0 3.474 * [taylor]: Taking taylor expansion of x in x 3.474 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify 1 into 1 3.474 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.474 * [taylor]: Taking taylor expansion of x in x 3.474 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify 1 into 1 3.474 * [taylor]: Taking taylor expansion of 1.0 in x 3.474 * [backup-simplify]: Simplify 1.0 into 1.0 3.474 * [backup-simplify]: Simplify (- 0) into 0 3.475 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.475 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.476 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 3.476 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 3.476 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.476 * [taylor]: Taking taylor expansion of 1.0 in x 3.476 * [backup-simplify]: Simplify 1.0 into 1.0 3.476 * [taylor]: Taking taylor expansion of x in x 3.476 * [backup-simplify]: Simplify 0 into 0 3.476 * [backup-simplify]: Simplify 1 into 1 3.476 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.476 * [taylor]: Taking taylor expansion of x in x 3.476 * [backup-simplify]: Simplify 0 into 0 3.476 * [backup-simplify]: Simplify 1 into 1 3.476 * [taylor]: Taking taylor expansion of 1.0 in x 3.476 * [backup-simplify]: Simplify 1.0 into 1.0 3.476 * [backup-simplify]: Simplify (- 0) into 0 3.477 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.477 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.478 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 3.478 * [backup-simplify]: Simplify 1.0 into 1.0 3.478 * [backup-simplify]: Simplify (- 1) into -1 3.479 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.479 * [backup-simplify]: Simplify (+ 1 0) into 1 3.482 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 3.482 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 3.483 * [backup-simplify]: Simplify (- 0) into 0 3.483 * [backup-simplify]: Simplify (+ 0 0) into 0 3.484 * [backup-simplify]: Simplify (+ 0 0) into 0 3.488 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 3.489 * [backup-simplify]: Simplify 2.0 into 2.0 3.489 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* (- 2.0) x) 1.0)) into (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) 3.490 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 3.490 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 3.490 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 3.490 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.490 * [taylor]: Taking taylor expansion of 1.0 in x 3.490 * [backup-simplify]: Simplify 1.0 into 1.0 3.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.490 * [taylor]: Taking taylor expansion of x in x 3.490 * [backup-simplify]: Simplify 0 into 0 3.490 * [backup-simplify]: Simplify 1 into 1 3.490 * [backup-simplify]: Simplify (/ 1 1) into 1 3.490 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.490 * [taylor]: Taking taylor expansion of x in x 3.490 * [backup-simplify]: Simplify 0 into 0 3.490 * [backup-simplify]: Simplify 1 into 1 3.491 * [backup-simplify]: Simplify (/ 1 1) into 1 3.491 * [taylor]: Taking taylor expansion of 1.0 in x 3.491 * [backup-simplify]: Simplify 1.0 into 1.0 3.491 * [backup-simplify]: Simplify (- 1) into -1 3.492 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.492 * [backup-simplify]: Simplify (+ 1 0) into 1 3.493 * [backup-simplify]: Simplify (/ -1 1) into -1 3.493 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 3.493 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.493 * [taylor]: Taking taylor expansion of 1.0 in x 3.493 * [backup-simplify]: Simplify 1.0 into 1.0 3.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.493 * [taylor]: Taking taylor expansion of x in x 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 1 into 1 3.493 * [backup-simplify]: Simplify (/ 1 1) into 1 3.493 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.493 * [taylor]: Taking taylor expansion of x in x 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 1 into 1 3.494 * [backup-simplify]: Simplify (/ 1 1) into 1 3.494 * [taylor]: Taking taylor expansion of 1.0 in x 3.494 * [backup-simplify]: Simplify 1.0 into 1.0 3.494 * [backup-simplify]: Simplify (- 1) into -1 3.495 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.495 * [backup-simplify]: Simplify (+ 1 0) into 1 3.495 * [backup-simplify]: Simplify (/ -1 1) into -1 3.496 * [backup-simplify]: Simplify -1 into -1 3.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.497 * [backup-simplify]: Simplify (- 0) into 0 3.497 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.499 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.500 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 3.500 * [backup-simplify]: Simplify 2.0 into 2.0 3.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.501 * [backup-simplify]: Simplify (- 0) into 0 3.501 * [backup-simplify]: Simplify (+ 0 0) into 0 3.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.502 * [backup-simplify]: Simplify (+ 0 0) into 0 3.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 3.505 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 3.505 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* 2.0 (/ 1 x)) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 3.505 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 3.505 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 3.505 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 3.505 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.505 * [taylor]: Taking taylor expansion of x in x 3.505 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify (/ 1 1) into 1 3.506 * [taylor]: Taking taylor expansion of 1.0 in x 3.506 * [backup-simplify]: Simplify 1.0 into 1.0 3.506 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.506 * [taylor]: Taking taylor expansion of 1.0 in x 3.506 * [backup-simplify]: Simplify 1.0 into 1.0 3.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.506 * [taylor]: Taking taylor expansion of x in x 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify (/ 1 1) into 1 3.506 * [backup-simplify]: Simplify (+ 1 0) into 1 3.507 * [backup-simplify]: Simplify (- 1) into -1 3.507 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.507 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.507 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 3.507 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.507 * [taylor]: Taking taylor expansion of x in x 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify 1 into 1 3.507 * [backup-simplify]: Simplify (/ 1 1) into 1 3.507 * [taylor]: Taking taylor expansion of 1.0 in x 3.508 * [backup-simplify]: Simplify 1.0 into 1.0 3.508 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.508 * [taylor]: Taking taylor expansion of 1.0 in x 3.508 * [backup-simplify]: Simplify 1.0 into 1.0 3.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.508 * [taylor]: Taking taylor expansion of x in x 3.508 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify 1 into 1 3.508 * [backup-simplify]: Simplify (/ 1 1) into 1 3.508 * [backup-simplify]: Simplify (+ 1 0) into 1 3.508 * [backup-simplify]: Simplify (- 1) into -1 3.509 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.509 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.509 * [backup-simplify]: Simplify -1 into -1 3.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.510 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.510 * [backup-simplify]: Simplify (- 0) into 0 3.511 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.512 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 3.512 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 3.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.513 * [backup-simplify]: Simplify (+ 0 0) into 0 3.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.514 * [backup-simplify]: Simplify (- 0) into 0 3.515 * [backup-simplify]: Simplify (+ 0 0) into 0 3.518 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 3.518 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 3.519 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* (- 2.0) (/ 1 (- x))) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 3.519 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.519 * [backup-simplify]: Simplify (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) into (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3.519 * [approximate]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) in (x) around 0 3.519 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 3.519 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1) 3.519 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 3.519 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 3.519 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3.519 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 3.519 * [taylor]: Taking taylor expansion of 1 in x 3.519 * [backup-simplify]: Simplify 1 into 1 3.519 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 3.519 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 3.519 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.519 * [taylor]: Taking taylor expansion of 1.0 in x 3.519 * [backup-simplify]: Simplify 1.0 into 1.0 3.520 * [taylor]: Taking taylor expansion of x in x 3.520 * [backup-simplify]: Simplify 0 into 0 3.520 * [backup-simplify]: Simplify 1 into 1 3.520 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.520 * [taylor]: Taking taylor expansion of x in x 3.520 * [backup-simplify]: Simplify 0 into 0 3.520 * [backup-simplify]: Simplify 1 into 1 3.520 * [taylor]: Taking taylor expansion of 1.0 in x 3.520 * [backup-simplify]: Simplify 1.0 into 1.0 3.523 * [backup-simplify]: Simplify (- 0) into 0 3.524 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.524 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.524 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 3.524 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.525 * [backup-simplify]: Simplify (- 1) into -1 3.525 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.525 * [backup-simplify]: Simplify (+ 1 0) into 1 3.527 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 3.528 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 3.529 * [backup-simplify]: Simplify (+ 1 (sqrt 1.0)) into (+ (sqrt 1.0) 1) 3.529 * [backup-simplify]: Simplify (log (+ (sqrt 1.0) 1)) into (log (+ (sqrt 1.0) 1)) 3.531 * [backup-simplify]: Simplify (exp (log (+ (sqrt 1.0) 1))) into (+ (sqrt 1.0) 1) 3.531 * [taylor]: Taking taylor expansion of 1 in x 3.531 * [backup-simplify]: Simplify 1 into 1 3.531 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 3.531 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1) 3.531 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 3.531 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 3.531 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3.531 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 3.531 * [taylor]: Taking taylor expansion of 1 in x 3.531 * [backup-simplify]: Simplify 1 into 1 3.531 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 3.531 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 3.531 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.531 * [taylor]: Taking taylor expansion of 1.0 in x 3.531 * [backup-simplify]: Simplify 1.0 into 1.0 3.531 * [taylor]: Taking taylor expansion of x in x 3.531 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify 1 into 1 3.532 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.532 * [taylor]: Taking taylor expansion of x in x 3.532 * [backup-simplify]: Simplify 0 into 0 3.532 * [backup-simplify]: Simplify 1 into 1 3.532 * [taylor]: Taking taylor expansion of 1.0 in x 3.532 * [backup-simplify]: Simplify 1.0 into 1.0 3.532 * [backup-simplify]: Simplify (- 0) into 0 3.532 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.532 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.533 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 3.533 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.533 * [backup-simplify]: Simplify (- 1) into -1 3.533 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.534 * [backup-simplify]: Simplify (+ 1 0) into 1 3.535 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 3.536 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 3.537 * [backup-simplify]: Simplify (+ 1 (sqrt 1.0)) into (+ (sqrt 1.0) 1) 3.538 * [backup-simplify]: Simplify (log (+ (sqrt 1.0) 1)) into (log (+ (sqrt 1.0) 1)) 3.539 * [backup-simplify]: Simplify (exp (log (+ (sqrt 1.0) 1))) into (+ (sqrt 1.0) 1) 3.539 * [taylor]: Taking taylor expansion of 1 in x 3.539 * [backup-simplify]: Simplify 1 into 1 3.540 * [backup-simplify]: Simplify (- 1) into -1 3.541 * [backup-simplify]: Simplify (+ (+ (sqrt 1.0) 1) -1) into (sqrt 1.0) 3.541 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.542 * [backup-simplify]: Simplify (+ 0 (/ -1.0 (sqrt 1.0))) into (- (* 1.0 (/ 1 (sqrt 1.0)))) 3.551 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1.0 (/ 1 (sqrt 1.0))))) 1)) (pow (+ (sqrt 1.0) 1) 1)))) 1) into (/ -1.0 (* (+ (sqrt 1.0) 1) (sqrt 1.0))) 3.558 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt 1.0) 1))) (+ (* (/ (pow (/ -1.0 (* (+ (sqrt 1.0) 1) (sqrt 1.0))) 1) 1)))) into (/ -1.0 (sqrt 1.0)) 3.559 * [backup-simplify]: Simplify (- 0) into 0 3.560 * [backup-simplify]: Simplify (+ (/ -1.0 (sqrt 1.0)) 0) into (- (* 1.0 (/ 1 (sqrt 1.0)))) 3.562 * [backup-simplify]: Simplify (- (* 1.0 (/ 1 (sqrt 1.0)))) into (- (* 1.0 (/ 1 (sqrt 1.0)))) 3.564 * [backup-simplify]: Simplify (- 0) into 0 3.564 * [backup-simplify]: Simplify (+ 0 0) into 0 3.564 * [backup-simplify]: Simplify (+ 0 0) into 0 3.569 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 3.574 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 3.583 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0)))) into (- (* 1.0 (/ 1 (sqrt 1.0))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 3.608 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1.0 (/ 1 (sqrt 1.0))))) 2)) (pow (+ (sqrt 1.0) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1.0 (/ 1 (sqrt 1.0))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 1)) (pow (+ (sqrt 1.0) 1) 1)))) 2) into (* 1/2 (- (* 2.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (+ (* 1.0 (/ 1 (* (pow (+ (sqrt 1.0) 1) 2) (pow (sqrt 1.0) 2)))) (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3))))))) 3.654 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt 1.0) 1))) (+ (* (/ (pow (/ -1.0 (* (+ (sqrt 1.0) 1) (sqrt 1.0))) 2) 2)) (* (/ (pow (* 1/2 (- (* 2.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (+ (* 1.0 (/ 1 (* (pow (+ (sqrt 1.0) 1) 2) (pow (sqrt 1.0) 2)))) (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3))))))) 1) 1)))) into (* (+ (sqrt 1.0) 1) (- (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3)))))) 3.654 * [backup-simplify]: Simplify (- 0) into 0 3.664 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) 1) (- (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3)))))) 0) into (- (+ (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (* 1.0 (/ 1 (+ (sqrt 1.0) 1)))) (+ (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3)))) (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 2)))))) 3.678 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (* 1.0 (/ 1 (+ (sqrt 1.0) 1)))) (+ (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3)))) (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 2)))))) into (- (+ (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (* 1.0 (/ 1 (+ (sqrt 1.0) 1)))) (+ (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3)))) (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 2)))))) 3.694 * [backup-simplify]: Simplify (+ (* (- (+ (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (* 1.0 (/ 1 (+ (sqrt 1.0) 1)))) (+ (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3)))) (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 2)))))) (pow x 2)) (+ (* (- (* 1.0 (/ 1 (sqrt 1.0)))) x) (sqrt 1.0))) into (- (+ (* 1.0 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (+ (sqrt 1.0) 1))))) (+ (* 1.0 (/ x (sqrt 1.0))) (+ (* 0.5 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 2)))) (* 0.5 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3))))))) 3.694 * [backup-simplify]: Simplify (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))))) into (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 3.695 * [approximate]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in (x) around 0 3.695 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 3.695 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 1) 3.695 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 3.695 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 3.695 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 3.695 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 3.695 * [taylor]: Taking taylor expansion of 1 in x 3.695 * [backup-simplify]: Simplify 1 into 1 3.695 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 3.695 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 3.695 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.695 * [taylor]: Taking taylor expansion of 1.0 in x 3.695 * [backup-simplify]: Simplify 1.0 into 1.0 3.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.695 * [taylor]: Taking taylor expansion of x in x 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify 1 into 1 3.695 * [backup-simplify]: Simplify (/ 1 1) into 1 3.695 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.695 * [taylor]: Taking taylor expansion of x in x 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify 1 into 1 3.696 * [backup-simplify]: Simplify (/ 1 1) into 1 3.696 * [taylor]: Taking taylor expansion of 1.0 in x 3.696 * [backup-simplify]: Simplify 1.0 into 1.0 3.696 * [backup-simplify]: Simplify (- 1) into -1 3.696 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.696 * [backup-simplify]: Simplify (+ 1 0) into 1 3.697 * [backup-simplify]: Simplify (/ -1 1) into -1 3.697 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.698 * [backup-simplify]: Simplify (- 0) into 0 3.698 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.699 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.700 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 3.701 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 3.702 * [backup-simplify]: Simplify (+ 1 (sqrt -1)) into (+ (sqrt -1) 1) 3.703 * [backup-simplify]: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) 3.704 * [backup-simplify]: Simplify (exp (log (+ (sqrt -1) 1))) into (+ (sqrt -1) 1) 3.704 * [taylor]: Taking taylor expansion of 1 in x 3.704 * [backup-simplify]: Simplify 1 into 1 3.704 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 3.704 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 1) 3.704 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 3.704 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 3.704 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 3.705 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 3.705 * [taylor]: Taking taylor expansion of 1 in x 3.705 * [backup-simplify]: Simplify 1 into 1 3.705 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 3.705 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 3.705 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.705 * [taylor]: Taking taylor expansion of 1.0 in x 3.705 * [backup-simplify]: Simplify 1.0 into 1.0 3.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.705 * [taylor]: Taking taylor expansion of x in x 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 1 into 1 3.705 * [backup-simplify]: Simplify (/ 1 1) into 1 3.705 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.705 * [taylor]: Taking taylor expansion of x in x 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 1 into 1 3.705 * [backup-simplify]: Simplify (/ 1 1) into 1 3.705 * [taylor]: Taking taylor expansion of 1.0 in x 3.705 * [backup-simplify]: Simplify 1.0 into 1.0 3.706 * [backup-simplify]: Simplify (- 1) into -1 3.706 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.706 * [backup-simplify]: Simplify (+ 1 0) into 1 3.706 * [backup-simplify]: Simplify (/ -1 1) into -1 3.707 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.707 * [backup-simplify]: Simplify (- 0) into 0 3.708 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.708 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.710 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 3.711 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 3.711 * [backup-simplify]: Simplify (+ 1 (sqrt -1)) into (+ (sqrt -1) 1) 3.717 * [backup-simplify]: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) 3.718 * [backup-simplify]: Simplify (exp (log (+ (sqrt -1) 1))) into (+ (sqrt -1) 1) 3.718 * [taylor]: Taking taylor expansion of 1 in x 3.718 * [backup-simplify]: Simplify 1 into 1 3.719 * [backup-simplify]: Simplify (- 1) into -1 3.719 * [backup-simplify]: Simplify (+ (+ (sqrt -1) 1) -1) into (sqrt -1) 3.720 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.721 * [backup-simplify]: Simplify (+ 0 (/ 1.0 (sqrt -1))) into (* 1.0 (/ 1 (sqrt -1))) 3.729 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1.0 (/ 1 (sqrt -1)))) 1)) (pow (+ (sqrt -1) 1) 1)))) 1) into (/ 1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 3.736 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt -1) 1))) (+ (* (/ (pow (/ 1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 1) 1)))) into (/ 1.0 (sqrt -1)) 3.736 * [backup-simplify]: Simplify (- 0) into 0 3.737 * [backup-simplify]: Simplify (+ (/ 1.0 (sqrt -1)) 0) into (* 1.0 (/ 1 (sqrt -1))) 3.738 * [backup-simplify]: Simplify (* 1.0 (/ 1 (sqrt -1))) into (/ 1.0 (sqrt -1)) 3.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.739 * [backup-simplify]: Simplify (- 0) into 0 3.739 * [backup-simplify]: Simplify (+ 0 0) into 0 3.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.740 * [backup-simplify]: Simplify (+ 0 0) into 0 3.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 3.746 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 3.751 * [backup-simplify]: Simplify (+ 0 (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1)))) into (- (+ (* 0.5 (/ 1 (pow (sqrt -1) 3))) (* 1.0 (/ 1 (sqrt -1))))) 3.777 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1.0 (/ 1 (sqrt -1)))) 2)) (pow (+ (sqrt -1) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 0.5 (/ 1 (pow (sqrt -1) 3))) (* 1.0 (/ 1 (sqrt -1)))))) 1)) (pow (+ (sqrt -1) 1) 1)))) 2) into (* -1/2 (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 2.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1))))))) 3.837 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt -1) 1))) (+ (* (/ (pow (/ 1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 2) 2)) (* (/ (pow (* -1/2 (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 2.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1))))))) 1) 1)))) into (* -1 (* (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1))))) (+ (sqrt -1) 1))) 3.838 * [backup-simplify]: Simplify (- 0) into 0 3.849 * [backup-simplify]: Simplify (+ (* -1 (* (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1))))) (+ (sqrt -1) 1))) 0) into (- (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt -1) 1)))) (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (+ (sqrt -1) 1))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))))) 3.867 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt -1) 1)))) (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (+ (sqrt -1) 1))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))))) into (- (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt -1) 1)))) (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (+ (sqrt -1) 1))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))))) 3.885 * [backup-simplify]: Simplify (+ (* (- (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt -1) 1)))) (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (+ (sqrt -1) 1))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))))) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 0.5 (/ 1 (* (pow x 2) (* (pow (sqrt -1) 3) (+ (sqrt -1) 1))))) (+ (* 0.5 (/ 1 (* (pow x 2) (* (pow (sqrt -1) 2) (+ (sqrt -1) 1))))) (+ (* 1.0 (/ 1 (* (pow x 2) (* (sqrt -1) (+ (sqrt -1) 1))))) (* 1.0 (/ 1 (* (pow x 2) (+ (sqrt -1) 1)))))))) 3.886 * [backup-simplify]: Simplify (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))))) into (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 3.886 * [approximate]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in (x) around 0 3.886 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 3.886 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 1) 3.886 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 3.886 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 3.886 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 3.886 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 3.886 * [taylor]: Taking taylor expansion of 1 in x 3.886 * [backup-simplify]: Simplify 1 into 1 3.886 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 3.886 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 3.886 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.886 * [taylor]: Taking taylor expansion of x in x 3.886 * [backup-simplify]: Simplify 0 into 0 3.886 * [backup-simplify]: Simplify 1 into 1 3.887 * [backup-simplify]: Simplify (/ 1 1) into 1 3.887 * [taylor]: Taking taylor expansion of 1.0 in x 3.887 * [backup-simplify]: Simplify 1.0 into 1.0 3.887 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.887 * [taylor]: Taking taylor expansion of 1.0 in x 3.887 * [backup-simplify]: Simplify 1.0 into 1.0 3.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.887 * [taylor]: Taking taylor expansion of x in x 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.887 * [backup-simplify]: Simplify (/ 1 1) into 1 3.887 * [backup-simplify]: Simplify (+ 1 0) into 1 3.888 * [backup-simplify]: Simplify (- 1) into -1 3.888 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.888 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.888 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.889 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.890 * [backup-simplify]: Simplify (- 0) into 0 3.890 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.892 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 3.893 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 3.893 * [backup-simplify]: Simplify (+ 1 (sqrt -1)) into (+ (sqrt -1) 1) 3.894 * [backup-simplify]: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) 3.896 * [backup-simplify]: Simplify (exp (log (+ (sqrt -1) 1))) into (+ (sqrt -1) 1) 3.896 * [taylor]: Taking taylor expansion of 1 in x 3.896 * [backup-simplify]: Simplify 1 into 1 3.896 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 3.896 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 1) 3.896 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 3.896 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 3.896 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 3.896 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 3.896 * [taylor]: Taking taylor expansion of 1 in x 3.896 * [backup-simplify]: Simplify 1 into 1 3.896 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 3.896 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 3.896 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.896 * [taylor]: Taking taylor expansion of x in x 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 1 into 1 3.897 * [backup-simplify]: Simplify (/ 1 1) into 1 3.897 * [taylor]: Taking taylor expansion of 1.0 in x 3.897 * [backup-simplify]: Simplify 1.0 into 1.0 3.897 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.897 * [taylor]: Taking taylor expansion of 1.0 in x 3.897 * [backup-simplify]: Simplify 1.0 into 1.0 3.897 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.897 * [taylor]: Taking taylor expansion of x in x 3.897 * [backup-simplify]: Simplify 0 into 0 3.897 * [backup-simplify]: Simplify 1 into 1 3.897 * [backup-simplify]: Simplify (/ 1 1) into 1 3.897 * [backup-simplify]: Simplify (+ 1 0) into 1 3.898 * [backup-simplify]: Simplify (- 1) into -1 3.898 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.898 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.898 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.899 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.900 * [backup-simplify]: Simplify (- 0) into 0 3.900 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.902 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 3.903 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 3.904 * [backup-simplify]: Simplify (+ 1 (sqrt -1)) into (+ (sqrt -1) 1) 3.905 * [backup-simplify]: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) 3.906 * [backup-simplify]: Simplify (exp (log (+ (sqrt -1) 1))) into (+ (sqrt -1) 1) 3.906 * [taylor]: Taking taylor expansion of 1 in x 3.906 * [backup-simplify]: Simplify 1 into 1 3.906 * [backup-simplify]: Simplify (- 1) into -1 3.907 * [backup-simplify]: Simplify (+ (+ (sqrt -1) 1) -1) into (sqrt -1) 3.908 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.913 * [backup-simplify]: Simplify (+ 0 (/ -1.0 (sqrt -1))) into (- (* 1.0 (/ 1 (sqrt -1)))) 3.922 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1.0 (/ 1 (sqrt -1))))) 1)) (pow (+ (sqrt -1) 1) 1)))) 1) into (/ -1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 3.929 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt -1) 1))) (+ (* (/ (pow (/ -1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 1) 1)))) into (/ -1.0 (sqrt -1)) 3.929 * [backup-simplify]: Simplify (- 0) into 0 3.930 * [backup-simplify]: Simplify (+ (/ -1.0 (sqrt -1)) 0) into (- (* 1.0 (/ 1 (sqrt -1)))) 3.933 * [backup-simplify]: Simplify (- (* 1.0 (/ 1 (sqrt -1)))) into (- (* 1.0 (/ 1 (sqrt -1)))) 3.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.934 * [backup-simplify]: Simplify (+ 0 0) into 0 3.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.935 * [backup-simplify]: Simplify (- 0) into 0 3.935 * [backup-simplify]: Simplify (+ 0 0) into 0 3.938 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 3.942 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 3.947 * [backup-simplify]: Simplify (+ 0 (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1)))) into (- (+ (* 0.5 (/ 1 (pow (sqrt -1) 3))) (* 1.0 (/ 1 (sqrt -1))))) 3.975 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1.0 (/ 1 (sqrt -1))))) 2)) (pow (+ (sqrt -1) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 0.5 (/ 1 (pow (sqrt -1) 3))) (* 1.0 (/ 1 (sqrt -1)))))) 1)) (pow (+ (sqrt -1) 1) 1)))) 2) into (* -1/2 (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 2.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1))))))) 4.030 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt -1) 1))) (+ (* (/ (pow (/ -1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 2) 2)) (* (/ (pow (* -1/2 (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 2.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1))))))) 1) 1)))) into (* -1 (* (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1))))) (+ (sqrt -1) 1))) 4.030 * [backup-simplify]: Simplify (- 0) into 0 4.051 * [backup-simplify]: Simplify (+ (* -1 (* (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1))))) (+ (sqrt -1) 1))) 0) into (- (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt -1) 1)))) (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (+ (sqrt -1) 1))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))))) 4.081 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt -1) 1)))) (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (+ (sqrt -1) 1))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))))) into (- (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt -1) 1)))) (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (+ (sqrt -1) 1))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))))) 4.114 * [backup-simplify]: Simplify (+ (* (- (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt -1) 1)))) (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (+ (* 1.0 (/ 1 (+ (sqrt -1) 1))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 1.0 (/ 1 (sqrt -1)))) (/ 1 (- x))) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 0.5 (/ 1 (* (pow x 2) (* (pow (sqrt -1) 3) (+ (sqrt -1) 1))))) (+ (* 0.5 (/ 1 (* (pow x 2) (* (pow (sqrt -1) 2) (+ (sqrt -1) 1))))) (+ (* 1.0 (/ 1 (* (pow x 2) (* (sqrt -1) (+ (sqrt -1) 1))))) (* 1.0 (/ 1 (* (pow x 2) (+ (sqrt -1) 1)))))))) 4.114 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.114 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 4.114 * [approximate]: Taking taylor expansion of (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) in (x) around 0 4.114 * [taylor]: Taking taylor expansion of (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) in x 4.114 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 4.114 * [taylor]: Taking taylor expansion of (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) in x 4.114 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 4.115 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 4.115 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 4.115 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) 4.115 * [approximate]: Taking taylor expansion of (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) in (x) around 0 4.115 * [taylor]: Taking taylor expansion of (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) in x 4.116 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))))) 4.116 * [taylor]: Taking taylor expansion of (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) in x 4.116 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))))) 4.116 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1.0)))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 4.116 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))))))) into (atan (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) 4.117 * [approximate]: Taking taylor expansion of (atan (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) in (x) around 0 4.117 * [taylor]: Taking taylor expansion of (atan (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) in x 4.117 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) into (atan (expm1 (log1p (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))))) 4.117 * [taylor]: Taking taylor expansion of (atan (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) in x 4.117 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) into (atan (expm1 (log1p (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))))) 4.117 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))))) into (atan (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify (atan (expm1 (log1p (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1.0) (- 1.0 (/ 1 (/ 1 (- x))))))))) into (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 4.117 * * * [progress]: simplifying candidates 4.120 * [simplify]: Simplifying: (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (exp (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (log1p (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (log (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (exp (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (* (cbrt (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (cbrt (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (* (* (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (sqrt (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (sqrt (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (expm1 (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (log1p (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (log (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (exp (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (* (cbrt (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (cbrt (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))))) (cbrt (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (* (* (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (sqrt (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (sqrt (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (+ (* 1.0 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (+ (sqrt 1.0) 1))))) (+ (* 1.0 (/ x (sqrt 1.0))) (+ (* 0.5 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 2)))) (* 0.5 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3))))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 0.5 (/ 1 (* (pow x 2) (* (pow (sqrt -1) 3) (+ (sqrt -1) 1))))) (+ (* 0.5 (/ 1 (* (pow x 2) (* (pow (sqrt -1) 2) (+ (sqrt -1) 1))))) (+ (* 1.0 (/ 1 (* (pow x 2) (* (sqrt -1) (+ (sqrt -1) 1))))) (* 1.0 (/ 1 (* (pow x 2) (+ (sqrt -1) 1)))))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 0.5 (/ 1 (* (pow x 2) (* (pow (sqrt -1) 3) (+ (sqrt -1) 1))))) (+ (* 0.5 (/ 1 (* (pow x 2) (* (pow (sqrt -1) 2) (+ (sqrt -1) 1))))) (+ (* 1.0 (/ 1 (* (pow x 2) (* (sqrt -1) (+ (sqrt -1) 1))))) (* 1.0 (/ 1 (* (pow x 2) (+ (sqrt -1) 1)))))))) (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 4.123 * * [simplify]: Extracting # 0 : cost 0 4.123 * * [simplify]: Extracting # 1 : cost 0 4.123 * * [simplify]: Extracting # 2 : cost 0 4.123 * * [simplify]: Extracting # 3 : cost 0 4.124 * * [simplify]: Extracting # 4 : cost 0 4.124 * * [simplify]: Extracting # 5 : cost 0 4.124 * * [simplify]: Extracting # 6 : cost 0 4.125 * * [simplify]: Extracting # 7 : cost 0 4.125 * * [simplify]: Extracting # 8 : cost 0 4.125 * * [simplify]: Extracting # 9 : cost 0 4.126 * * [simplify]: Extracting # 10 : cost 0 4.126 * * [simplify]: Extracting # 11 : cost 0 4.126 * * [simplify]: Extracting # 12 : cost 0 4.127 * * [simplify]: iteration 0 : 225 enodes (cost 1895 ) 4.201 * * [simplify]: Extracting # 0 : cost 0 4.201 * * [simplify]: Extracting # 1 : cost 0 4.202 * * [simplify]: Extracting # 2 : cost 0 4.203 * * [simplify]: Extracting # 3 : cost 0 4.204 * * [simplify]: Extracting # 4 : cost 0 4.206 * * [simplify]: Extracting # 5 : cost 0 4.207 * * [simplify]: iteration 1 : 522 enodes (cost 1734 ) 4.662 * * [simplify]: Extracting # 0 : cost 0 4.664 * * [simplify]: Extracting # 1 : cost 0 4.666 * * [simplify]: Extracting # 2 : cost 0 4.668 * * [simplify]: Extracting # 3 : cost 0 4.669 * * [simplify]: Extracting # 4 : cost 0 4.671 * * [simplify]: Extracting # 5 : cost 0 4.673 * * [simplify]: iteration 2 : 1486 enodes (cost 1603 ) 5.564 * * [simplify]: Extracting # 0 : cost 0 5.573 * * [simplify]: Extracting # 1 : cost 0 5.592 * * [simplify]: Extracting # 2 : cost 0 5.599 * * [simplify]: Extracting # 3 : cost 0 5.605 * * [simplify]: Extracting # 4 : cost 0 5.612 * * [simplify]: Extracting # 5 : cost 0 5.618 * * [simplify]: iteration done: 5001 enodes (cost 1568 ) 5.619 * [simplify]: Simplified to: (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (fabs (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (fabs (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (fma 1.0 1.0 (* x (- x 1.0)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ x 1.0)) 3) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ x 1.0)) 3) (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (- x 1.0) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (- 1.0 x) (- 1.0 x) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ x 1.0) (fma 1.0 1.0 (* x (+ 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (exp (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (pow (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (+ (sqrt 1.0) (- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (sqrt -1) (/ 1.0 (* x (sqrt -1)))) (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (- (sqrt -1)))))) (- (+ (sqrt -1) (/ 1.0 (* x (sqrt -1)))) (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (- (sqrt -1)))))) (+ 1.0 (* x (- (* 2.0 x) 2.0))) (- (- (/ 2.0 x) (/ (/ 2.0 x) x)) 1) (- (- (/ 2.0 x) (/ (/ 2.0 x) x)) 1) (+ (* (/ (pow x 2) (+ (sqrt 1.0) 1)) (+ (/ 1.0 (sqrt 1.0)) 1.0)) (- (sqrt 1.0) (fma 0.5 (* (/ x (+ (sqrt 1.0) 1)) (+ (/ x (pow (sqrt 1.0) 3)) (/ x 1.0))) (* 1.0 (/ x (sqrt 1.0)))))) (- (- (+ (sqrt -1) (/ 1.0 (* x (sqrt -1)))) (* (/ 1 (pow x 2)) (+ (/ 0.5 (fma (sqrt -1) -1 -1)) (/ 0.5 (- (+ (sqrt -1) -1)))))) (* (/ 1 (pow x 2)) (+ (/ 1.0 (+ (sqrt -1) -1)) (/ 1.0 (+ (sqrt -1) 1))))) (- (- (+ (sqrt -1) (/ 1.0 (* x (sqrt -1)))) (* (/ 1 (pow x 2)) (+ (/ 0.5 (fma (sqrt -1) -1 -1)) (/ 0.5 (- (+ (sqrt -1) -1)))))) (* (/ 1 (pow x 2)) (+ (/ 1.0 (+ (sqrt -1) -1)) (/ 1.0 (+ (sqrt -1) 1))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 5.620 * * * [progress]: adding candidates to table 6.110 * [progress]: [Phase 3 of 3] Extracting. 6.113 * [simplify]: Simplifying: (* 2.0 (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) 6.113 * * [simplify]: Extracting # 0 : cost 0 6.114 * * [simplify]: Extracting # 1 : cost 0 6.114 * * [simplify]: Extracting # 2 : cost 0 6.114 * * [simplify]: Extracting # 3 : cost 0 6.114 * * [simplify]: Extracting # 4 : cost 0 6.114 * * [simplify]: Extracting # 5 : cost 0 6.114 * * [simplify]: Extracting # 6 : cost 0 6.114 * * [simplify]: Extracting # 7 : cost 0 6.114 * * [simplify]: Extracting # 8 : cost 0 6.114 * * [simplify]: Extracting # 9 : cost 0 6.114 * * [simplify]: iteration 0 : 11 enodes (cost 13 ) 6.114 * * [simplify]: Extracting # 0 : cost 0 6.114 * * [simplify]: iteration 1 : 13 enodes (cost 13 ) 6.115 * * [simplify]: Extracting # 0 : cost 0 6.115 * * [simplify]: iteration done: 13 enodes (cost 13 ) 6.115 * [simplify]: Simplified to: (* 2.0 (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) 8.488 * [regime-testing]: End program error score: 0.014751843980497562